# Berlin 2015 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# TT: Fachverband Tiefe Temperaturen

## TT 109: Transport: Majorana Fermions (jointly with DS, HL, MA, O)

### TT 109.1: Vortrag

### Freitag, 20. März 2015, 09:30–09:45, H 0104

**Majorana bound states in a Corbino geometry topological insulator Josephson junction** — •Sunghun Park and Patrik Recher — Institute for Mathematical Physics, TU Braunschweig, Germany

An adiabatic exchange of Majorana bound states reveals their exotic anyonic nature. Here we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of a topological insulator, in which Majorana bound states can be created and transported. By solving the Bogoliubov-de Gennes equation, we show that two spatially separated Majorana bound states at zero excitation energy appear in the junction when two flux quanta are introduced, and that their positions can be moved by changing the superconducting phase difference across the junction. These features allow us to perform the exchange operation of the Majorana bound states if we vary the phase difference adiabatically.